Asked what global role their country should play, only 14 percent of ordinary Chinese replied “single world leader,” 45 percent wanted a “shared leadership role,” while 19 percent wanted no leadership role at all for Beijing.

Only 1 percent of Chinese military respondents hoped their country would become the sole superpower, while 84 percent looked forward to sharing power with the United States. But even so, 12 percent want no global role for China.

That may be because almost nobody in China thinks the world would be more stable if Beijing succeeded Washington as the leading superpower: the numbers range from just 3 percent of Chinese military men to 12 percent of government officials.

Not that Americans seem enamored of the idea of running the world either. Large majorities of both ordinary Americans and government, media, military, business, and academic types want to share power with others.

Not that this makes them trust America. The study found that only 12 percent of Chinese thought America could be trusted “a great deal or a fair amount,” (against 26 percent of Americans who said the same thing of China.) Elites put scarcely more faith in America: less than one-third of them said Washington could be trusted.

On the bright side, very few ordinary Chinese citizens or elites think of the US as an enemy. Instead, a plurality of the Chinese public (45 percent) and clear majorities of the elites see America as a competitor. Most Americans see China the same way. That, says the report, “should encourage policymakers to enhance bilateral cooperation.”

Polling was conducted by the Pew Research Center in the US and the Research Center for Contemporary China (RCCC) at Peking University in Beijing. Pew surveyed 1,004 US adults and 358 elites between March and May 2012 and RCCC surveyed 2,597 Chinese adults in urban areas and 358 elites between May and July 2012.